SOLUTION: A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the pr

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Question 1081725: A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of sample of 53 families will be between 16.3 and 17.3 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round final answer to four decimal places and intermediate z-value calculations to two decimal places.
P(16.3< X <17.3)=

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
the t value is (x-mean)/s/sqrt(n)
below (17.3-17.2)/2.5/sqrt(53)=0.29
and above (16.3-17.2)/2.5/sqrt(53)=-2.62
t df=52 between those values is 0.6078 probability.

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